Fixed -universe successor problem Goal: maintain a dynamic subset s of size n of the universe 0=10, 1,.,u-1 of size u subject to these operations INSERT(X∈U\\S): Add x to s DELETE(X E S): Remove x from S
Quicksort Proposed by C. A.R. Hoare in 1962 Divide-and-conquer algorithm Sorts“ in place”( like insertion sort, but not like merge sort Very practical(with tuning)
Solving recurrences The analysis of merge sort from Lecture I required us to solve a recurrence Recurrences are like solving integrals erential equations, etc o Learn a few tricks Lecture 3: Applications of recurrences